On the scattered field generated by a ball inhomogeneity of constant index
We consider the solution of a scalar Helmholtz equation where the potential (or index) takes two positive values, one inside a disk of radius $\epsilon$ and another one outside. We derive sharp estimates of the size of the scattered field caused by this disk inhomogeneity, for any frequencies and an...
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| Format: | Journal article |
| Idioma: | English |
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Society for Industrial and Applied Mathematics
2012
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| _version_ | 1826342850216853504 |
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| author | Capdeboscq, Y |
| author_facet | Capdeboscq, Y |
| author_sort | Capdeboscq, Y |
| collection | OXFORD |
| description | We consider the solution of a scalar Helmholtz equation where the potential (or index) takes two positive values, one inside a disk of radius $\epsilon$ and another one outside. We derive sharp estimates of the size of the scattered field caused by this disk inhomogeneity, for any frequencies and any contrast. We also provide a broadband estimate, that is, a uniform bound for the scattered field for any contrast, and any frequencies outside of a set which tend to zero with $\epsilon$. |
| first_indexed | 2024-03-07T06:47:59Z |
| format | Journal article |
| id | oxford-uuid:fb829ffe-0df5-402c-ae4e-a66eb116153c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:47:59Z |
| publishDate | 2012 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:fb829ffe-0df5-402c-ae4e-a66eb116153c2022-03-27T13:14:28ZOn the scattered field generated by a ball inhomogeneity of constant indexJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fb829ffe-0df5-402c-ae4e-a66eb116153cEnglishSymplectic Elements at OxfordSociety for Industrial and Applied Mathematics2012Capdeboscq, YWe consider the solution of a scalar Helmholtz equation where the potential (or index) takes two positive values, one inside a disk of radius $\epsilon$ and another one outside. We derive sharp estimates of the size of the scattered field caused by this disk inhomogeneity, for any frequencies and any contrast. We also provide a broadband estimate, that is, a uniform bound for the scattered field for any contrast, and any frequencies outside of a set which tend to zero with $\epsilon$. |
| spellingShingle | Capdeboscq, Y On the scattered field generated by a ball inhomogeneity of constant index |
| title | On the scattered field generated by a ball inhomogeneity of constant
index |
| title_full | On the scattered field generated by a ball inhomogeneity of constant
index |
| title_fullStr | On the scattered field generated by a ball inhomogeneity of constant
index |
| title_full_unstemmed | On the scattered field generated by a ball inhomogeneity of constant
index |
| title_short | On the scattered field generated by a ball inhomogeneity of constant
index |
| title_sort | on the scattered field generated by a ball inhomogeneity of constant index |
| work_keys_str_mv | AT capdeboscqy onthescatteredfieldgeneratedbyaballinhomogeneityofconstantindex |